Nikon D750 has a 24.0MP Full frame (35.9 x 24 mm ) sized CMOS sensor and features Expeed 4 processor. On the other hand, Nikon Df has a 16.0MP Full frame (36 x 23.9 mm ) sized CMOS sensor and features Expeed 3 processor. Nikon D750's sensor provides 8MP more than Nikon Df's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the D750 and Df sensor size comparison.
Nikon D750 and Nikon Df have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.